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Finding the Third Proportional to 12,300.14 and 25,839.56

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Solution

The third proportional to 12,300.14 and 25,839.56 is: 54,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.14 : 25,839.56 = 25,839.56 : x
  2. Step 2: Convert to fraction form
    12,300.14/25,839.56 = 25,839.56/x
  3. Step 3: Cross multiply
    12,300.14x = 25,839.56 × 25,839.56
  4. Step 4: Simplify right side
    12,300.14x = 667,682,990.19
  5. Step 5: Solve for x
    x = 667,682,990.19/12,300.14
  6. Step 6: Final answer
    x = 54,282.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.